3(x-8)=2(x+4)

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Solution for 3(x-8)=2(x+4) equation:


Simplifying
3(x + -8) = 2(x + 4)

Reorder the terms:
3(-8 + x) = 2(x + 4)
(-8 * 3 + x * 3) = 2(x + 4)
(-24 + 3x) = 2(x + 4)

Reorder the terms:
-24 + 3x = 2(4 + x)
-24 + 3x = (4 * 2 + x * 2)
-24 + 3x = (8 + 2x)

Solving
-24 + 3x = 8 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-24 + 3x + -2x = 8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-24 + 1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 1x = 8 + 0
-24 + 1x = 8

Add '24' to each side of the equation.
-24 + 24 + 1x = 8 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = 8 + 24
1x = 8 + 24

Combine like terms: 8 + 24 = 32
1x = 32

Divide each side by '1'.
x = 32

Simplifying
x = 32

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